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22121802756 = 223482632
BaseRepresentation
bin10100100110100011…
…111110110000000100
32010002201002000110000
4110212203332300010
5330301140142011
614055043001300
71412125135524
oct244643766004
963081060400
1022121802756
1194221a9919
124354669230
13211715a621
1410dc009684
1589718d356
hex5268fec04

22121802756 has 45 divisors (see below), whose sum is σ = 57837761751. Its totient is φ = 7373041848.

The previous prime is 22121802751. The next prime is 22121802763. The reversal of 22121802756 is 65720812122.

It is a happy number.

The square root of 22121802756 is 148734.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22121802756.

It is not an unprimeable number, because it can be changed into a prime (22121802751) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2673081 + ... + 2681343.

Almost surely, 222121802756 is an apocalyptic number.

22121802756 is the 148734-th square number.

It is an amenable number.

22121802756 is an abundant number, since it is smaller than the sum of its proper divisors (35715958995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22121802756 is an frugal number, since it uses more digits than its factorization.

22121802756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16542 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 22121802756 by its sum of digits (36), we get a square (796384899216 = 8924042).

22121802756 divided by its sum of digits (36) gives a square (614494521 = 247892).

The spelling of 22121802756 in words is "twenty-two billion, one hundred twenty-one million, eight hundred two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8263 16526 24789 33052 49578 74367 99156 148734 223101 297468 446202 669303 892404 1338606 2677212 68277169 136554338 204831507 273108676 409663014 614494521 819326028 1228989042 1843483563 2457978084 3686967126 5530450689 7373934252 11060901378 22121802756